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Finding the Fourth Proportional to 9,503.73, 14,261.72 and 5,124.24

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Solution

The fourth proportional to 9,503.73, 14,261.72 and 5,124.24 is: 7,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.73 : 14,261.72 = 5,124.24 : x
  2. Step 2: Convert to fraction form
    9,503.73/14,261.72 = 5,124.24/x
  3. Step 3: Cross multiply
    9,503.73x = 14,261.72 × 5,124.24
  4. Step 4: Simplify right side
    9,503.73x = 73,080,450.47
  5. Step 5: Solve for x
    x = 73,080,450.47/9,503.73
  6. Step 6: Final answer
    x = 7,689.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.